6956080641 has 12 divisors (see below), whose sum is σ = 10048424932. Its totient is φ = 4637039616.

The previous prime is 6956080627. The next prime is 6956080687. The reversal of 6956080641 is 1460806596.

6956080641 is a `hidden beast` number, since 6 + 9 + 560 + 80 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6678158400 + 277922241 = 81720^2 + 16671^2 .

It is not a de Polignac number, because 6956080641 - 2¹³ = 6956072449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6956080741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169185 + ... + 206241.

Almost surely, 2^6956080641 is an apocalyptic number.

It is an amenable number.

6956080641 is a deficient number, since it is larger than the sum of its proper divisors (3092344291).

6956080641 is a wasteful number, since it uses less digits than its factorization.

6956080641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57920 (or 57917 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6956080641 is about 83403.1212905129. The cubic root of 6956080641 is about 1908.9220858869.

The spelling of 6956080641 in words is "six billion, nine hundred fifty-six million, eighty thousand, six hundred forty-one".